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Group ramsey theory
- Source :
- Journal of Combinatorial Theory, Series A. 17(2):219-226
- Publication Year :
- 1974
- Publisher :
- Elsevier BV, 1974.
-
Abstract
- A subset S of a group G is said to be a sum-free set if S ∩ (S + S) = ⊘ . Such a set is maximal if for every sum-free set T ⊆ G, we have |T| ⩽ |S|. Here, we generalize this concept, defining a sum-free set S to be locally maximal if for every sum free set T such that S ⊆ T ⊆ G, we have S = T. Properties of locally maximal sum-free sets are studied and the sets are determined (up to isomorphism) for groups of small order.
Details
- ISSN :
- 00973165
- Volume :
- 17
- Issue :
- 2
- Database :
- OpenAIRE
- Journal :
- Journal of Combinatorial Theory, Series A
- Accession number :
- edsair.doi.dedup.....ee9a3e213e9999583711a29b57688629
- Full Text :
- https://doi.org/10.1016/0097-3165(74)90009-0